Probabilistic and Stochastic Methods in Analysis, with ApplicationsJ.S. Byrnes, Kathryn A. Hargreaves, Karl Berry Springer Science & Business Media, 30 июн. 1992 г. - Всего страниц: 699 Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all of which are covered here. The book contains three exceptionally clear expositions on wavelets, frames and their applications. A further extremely active current research area, well covered here, is the relation between probability and partial differential equations, including probabilistic representations of solutions to elliptic and parabolic PDEs. New approaches, such as the PDE method for large deviation problems, and stochastic optimal control and filtering theory, are beginning to yield their secrets. Another topic dealt with is the application of probabilistic techniques to mathematical analysis. Finally, there are clear explanations of normal numbers and dynamic systems, and the influence of probability on our daily lives. |
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III | 1 |
IV | 13 |
V | 45 |
VI | 99 |
VII | 115 |
VIII | 161 |
IX | 173 |
X | 185 |
XXIII | 381 |
XXIV | 467 |
XXV | 477 |
XXVI | 479 |
XXVII | 515 |
533 | |
XXIX | 541 |
XXX | 553 |
XI | 205 |
XII | 215 |
XIII | 231 |
XIV | 243 |
XV | 245 |
XVI | 261 |
XVII | 271 |
XVIII | 285 |
XIX | 321 |
XX | 335 |
XXI | 341 |
XXII | 367 |
XXXI | 571 |
XXXII | 591 |
XXXIII | 603 |
XXXIV | 613 |
XXXVI | 615 |
XXXVII | 629 |
647 | |
XXXIX | 661 |
XL | 667 |
XLII | 685 |
XLIII | 689 |
Другие издания - Просмотреть все
Probabilistic and Stochastic Methods in Analysis, with Applications J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry Ограниченный просмотр - 2012 |
Probabilistic and Stochastic Methods in Analysis, with Applications J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry Недоступно для просмотра - 2012 |
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algorithm amplitude Applications attractor Banach space coefficients compact condition constant continuous convergence covariance defined denotes density differentiable dilation equation distribution entropy estimate example exists exponentials Figure filter finite formula Fourier series Fourier transform frame frequency Gabor Gabor filters Gaussian given Hausdorff dimension Hilbert space hologram hologram plane holographic inequality input integrable iterated L²(R Lemma linear Lipschitz exponents mapping Math mathematical matrix maxima measure multiresolution analysis neural network neuron obtain optical orthonormal orthonormal basis parameter photons points polynomials Probabilistic and Stochastic probability problem proof properties Proposition prove quantum Rademacher Radon transform random fields random variables reconstruction result Riesz S/TRF sampling satisfies scale-space scaling functions Section sequence Sidon set signal singularities solution spatial spatiotemporal spectral stationary Theorem theory trigonometric uniformly values vector wavelet transform Wf(s
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Стр. v - These lines may have their roots in quite different parts of human culture, in different religious traditions: hence if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow.
Стр. v - It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet.